Hansbo, Peter

Jönköping University, School of Engineering, JTH, Mechanical Engineering. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.

2011 (English)Report (Other academic)

Abstract [en]

In this paper we apply a rotated bilinear tetrahedral element recently introduced by Hansbo to elastodynamics in R3. This element performs superior to the constant strain element in bending and, unlike the conforming linear strain tetrahedron, allows for row-sum lumping of the mass matrix. We study the effect of different choices of approximation (pointwise continuity versus edge average continuity) as well as lumping versus consistent mass in the setting of eigenvibrations. We also use the element in combination withthe leapfrog method for time domain computations and make numerical comparisons with the constant strain and linear strain tetrahedra.